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Finding the Third Proportional to 145,841 and 306,946

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Solution

The third proportional to 145,841 and 306,946 is: 646,017.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,841 : 306,946 = 306,946 : x
  2. Step 2: Convert to fraction form
    145,841/306,946 = 306,946/x
  3. Step 3: Cross multiply
    145,841x = 306,946 × 306,946
  4. Step 4: Simplify right side
    145,841x = 94,215,846,916
  5. Step 5: Solve for x
    x = 94,215,846,916/145,841
  6. Step 6: Final answer
    x = 646,017.56

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.